Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information.I need help with Part A, B, and C Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per10 milliliters (mg/10 ml). A random sample of eight adults gave the following information.Ex = 64.1; Ex² = 526.19; Ey = 89.9; Ey2 = 1050.07; Exy = 735.886.28.97.07.58.46.810.09.3Part A9.610.310.811.714.27.014.112.2(a) Find the equation of the least-squares line. (Round your answers to three decimal places.)(b) Draw a scatter diagram for the data. Graph the least-squares line on your scatter diagram.Part Byу14141212ab101088666810121468101214yy14141212Cd101088666810121468101214Part C(c) Find the sample correlation coefficient r and the sample coefficient of determination r2. (Round your answers to three decimal places.)r =2 =Explain the meaning of r in the context of the application. (Round your answer to one decimal place.)% of the variance in blood glucose level ---Select--v is explained by the model and the variance in blood glucose level-Select------Select------Select---after drinking sugar waterY after a 12-hour fastafter drinking sugar waterafter a 12-hour fast(d) If x = 9.0, use the least-squares line to predict y. (Round your answer to two decimal places.)y =Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.)lower limitmg/10 mlPart Dupper limitmg/10 ml(e) Use level of significance 1% and test the claim that the population correlation coefficient p is not zero. (Round your test statistic to three decimal places.)t =Part EFind or estimate the P-value of the test statistic.O P-value > 0.500O 0.250 < P-value < 0.500O 0.200 < P-value < 0.250O 0.150 < P-value < 0.200O 0.100 < P-value < 0.150O 0.050 < P-value < 0.100O 0.020 < P-value < 0.050O 0.010 < P-value < 0.020O 0.001 < P-value < 0.010O P-value < 0.001ConclusionO Reject the null hypothesis, there is sufficient evidence that p + 0.O Reject the null hypothesis, there is insufficient evidence that p + 0.O Fail to reject the null hypothesis, there is sufficient evidence that p + 0.O Fail to reject the null hypothesis, there is insufficient evidence that p + 0.Interpret the resulO At the 1% level of significance, there is sufficient evidence that there is a linear correlation between the two glucose measurements.O At the 1% level of significance, there is sufficient evidence that there is not a linear correlation between the two glucose measurements.O At the 1% level of significance, there is insufficient evidence that there is a linear correlation between the two glucose measurements.O At the 1% level of significance, there is insufficient evidence that there is not a linear correlation between the two glucose measurements.(f) Find an 85% confidence interval for the slope B of the population-based least-squares line. (Round your answers to three decimal places.)Part Flower limitupper limitExplain its meaning in the context of the application.O For each additional mg/10 ml of blood glucose level after a 12-hour fast, the blood glucose level 1 hour after drinking sugar water is expected to increase by an amount that falls within the confidence interval.O For each additional mg/10 ml of blood glucose level after a 12-hour fast, the blood glucose level 1 hour after drinking sugar water is expected to decrease by an amount that falls outside the confidence interval.O For each additional mg/10 ml of blood glucose level after a 12-hour fast, the blood glucose level 1 hour after drinking sugar water is expected to increase by an amount that falls outside the confidence interval.O For each additional mg/10 ml of blood glucose level after a 12-hour fast, the blood glucose level 1 hour after drinking sugar water is expected to decrease by an amount that falls within the confidence interval.

Hello thank you for the question, as you have mentioned question number A,B and C, answering only…

Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Ex = 64.1; Ex? = 526.19; Ey = 89.9; Ey? = 1050.07; Exy = 735.88 %3D %3! x 6.2 y 9.6 8.9 10.3 7.0 7.5 11.7 8.4 14.2 6.8 7.0 10.0 14.1 9.3 12.2 Part A 10.8 (a) Find the equation of the least-squares line. (Round your answers to three decimal places.) (b) Draw a scatter diagram for the data. Graph the least-squares line on your scatter diagram. Part B 14 14 12 12 a 10 b 10 8 8 6 6 6 8 10 12 14 6. 8. 10 12 14 y 14 14 12 12 d, 10 10 8 8 6 8 10 Part C 6 12 14 6 8 10 12 14 (c) Find the sample correlation coefficient r and the sample coefficient of determination 2. (Round your answers to three decimal places.) Explain the meaning of 2 in the context of the application. (Round your answer to one decimal place.) % of the variance in blood glucose level ---Select-- Select-- |is explained by the model and the variance in blood glucose level ---Select-- --- after drinking sugar water after a 12-hour fast ---Select-- after drinking sugar water after a 12-hour fast

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P